94.3k views
1 vote
Factoring grouping 3x^3+5x^2+12x+20

1 Answer

5 votes

Consider polynomial
3x^3+5x^2+12x+20. Group first two terms and last two terms:


3x^3+5x^2+12x+20=(3x^3+5x^2)+(12x+20).

Terms in first brackets have the common factor
x^2 and terms in second brackets have common factor
4. Then


(3x^3+5x^2)+(12x+20)=x^2(3x+5)+4(3x+5).

Now you can see the common brackets
3x+5, that gives you


x^2(3x+5)+4(3x+5)=(3x+5)(x^2+4).

Answer:
3x^3+5x^2+12x+20=(3x+5)(x^2+4).

User Rodrick
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories